What is the 8193rd prime number?
The 8193rd prime number is 84047. The next prime is 84053 (a gap of 6) and the one before is 84017.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8193rd one is 84047.
- 2
84047 is prime because no prime up to ā84047 ā 289.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8193rd prime is close to 8193 Ć ln(8193) ā 73827, and here it is 84047.
- 4
84047 has no twin: neither 84045 nor 84049 is prime.
Primes around the 8193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8190 | 83987 | 4 |
| 8191 | 84011 | 24 |
| 8192 | 84017 | 6 |
| 8193 | 84047 | 30 |
| 8194 | 84053 | 6 |
| 8195 | 84059 | 6 |
| 8196 | 84061 | 2 |
Questions
What is the 8193rd prime number?
84047.
Which prime number is 84047?
84047 is the 8193rd prime number.
What is the sum of the first 8193 primes?
325,674,162.